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Finding the Fourth Proportional to 15,202,945,716.80, 21,313,147,768 and 15,202,945,716.80

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Solution

The fourth proportional to 15,202,945,716.80, 21,313,147,768 and 15,202,945,716.80 is: 21,313,147,768

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202,945,716.80 : 21,313,147,768 = 15,202,945,716.80 : x
  2. Step 2: Convert to fraction form
    15,202,945,716.80/21,313,147,768 = 15,202,945,716.80/x
  3. Step 3: Cross multiply
    15,202,945,716.80x = 21,313,147,768 × 15,202,945,716.80
  4. Step 4: Simplify right side
    15,202,945,716.80x = 324,022,628,571,041,038,336
  5. Step 5: Solve for x
    x = 324,022,628,571,041,038,336/15,202,945,716.80
  6. Step 6: Final answer
    x = 21,313,147,768

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.